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A272876 Decimal expansion of the imaginary part of the infinite nested power (1+(1+(1+...)^i)^i)^i, with i being the imaginary unit. 3
4, 0, 7, 5, 6, 3, 9, 3, 0, 5, 4, 5, 6, 2, 1, 8, 4, 4, 7, 3, 9, 6, 6, 3, 2, 4, 3, 3, 9, 4, 1, 5, 2, 0, 8, 8, 6, 4, 0, 6, 2, 7, 9, 9, 2, 8, 6, 6, 7, 7, 5, 1, 0, 3, 0, 4, 8, 7, 4, 8, 3, 5, 6, 7, 7, 0, 4, 0, 2, 1, 5, 5, 3, 9, 4, 8, 2, 2, 1, 5, 4, 2, 1, 4, 9, 1, 3, 9, 2, 7, 4, 8, 9, 9, 2, 3, 5, 0, 4, 0, 4, 8, 5, 8, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

The real part and the modulus of this complex constant are in A272875 and A272877, respectively. For more information, see A272875.

LINKS

Stanislav Sykora, Table of n, a(n) for n = 0..2000

EXAMPLE

0.40756393054562184473966324339415208864062799286677510304874835...

PROG

(PARI) \\ f(x) computes (x+(x+...)^i)^i, provided that it converges:

f(x)={my(z=1.0, zlast=0.0, eps=10.0^(1-default(realprecision))); while(abs(z-zlast)>eps, zlast=z; z=(x+z)^I); return(z)}

\\ To compute this constant, use:

z0 = f(1); imag(z0)

CROSSREFS

Cf. A156590, A272875, A272877.

Sequence in context: A157698 A251967 A057641 * A133930 A077892 A117543

Adjacent sequences:  A272873 A272874 A272875 * A272877 A272878 A272879

KEYWORD

nonn,cons

AUTHOR

Stanislav Sykora, May 15 2016

STATUS

approved

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Last modified August 19 19:25 EDT 2017. Contains 290821 sequences.